2020/03/21 by Richard Wiltshaw, Richard V. Craster, Wiltshaw, Richard +3 · 1 citation
Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Nonlinear Photonic Systems #Photonic Crystals and Applications #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.2003.10876
openalex publication_date 2020/03/21 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
We study the canonical problem of wave scattering by periodic arrays, either\nof infinite or finite extent, of Neumann scatterers in the plane; the\ncharacteristic lengthscale of the scatterers is considered small relative to\nthe lattice period. We utilise the method of matched asymptotic expansions,\ntogether with Fourier series representations, to create an efficient and\naccurate numerical approach for finding the dispersion curves associated with\nFloquet-Bloch waves through an infinite array of scatterers. The approach lends\nitself to direct scattering problems for finite arrays and we illustrate the\nflexibility of these asymptotic representations on topical examples from\ntopological wave physics.\n